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F = (and therefore the door\'s axis of Question 2.7) How does the orientation of

ID: 1781002 • Letter: F

Question

F = (and therefore the door's axis of Question 2.7) How does the orientation of the hinge (and therefore t rotation) relate to the direction of the cross product l'app x P C = A X B Question 2.8) The cross product of two vectors is another vector, perpendicular to the original pair: C = AXB. An intuitive way to think about the cross product's direction—the direction of C—is as an axis of rotation. The magnitude of the cross product—d = A B sin describes how effective vector B is at rotating vector around the vector . How does this way of thinking about the cross product apply to the previous questions about shutting the door?

Explanation / Answer

2.7] The orientation of hinge is parallel to the cross product rapp x F . So the door's axis of rotation is also parallel to the cross product rapp x F . It is in the direction of torque which is given by   rapp x F